**Solve these problems and submit your answers down in the comments.**

Problem 1. Find equivalent resistance *R _{eq} *for the network of resistances in Figure 30.

Problem 2. Find equivalent resistance *R _{eq} *for the network of resistances in Figure 31.

Problem 3. Find equivalent resistance *R _{eq} *to the

*R*for the network of resistances in the Figure 32.

_{ab }Problem 4. Find the equivalent conductivity *G _{eq} *for the part of network in Figure 33.

Problem 5. Find the voltages *v _{1} *and

*v*in Figure 34. Also find power dissipated on the 2 and 10Ohm resistors.

_{2}Problem 6. According to Figure 35, determine voltage v* _{0} * of resistor

*R*, power generated by the source and power dissipating on each resistor.

_{1}Problem 7. Find the equivalent resistance *R _{ab}*, find current

*i*.

Problem 8. Find the equivalent resistance *R _{ab}*, ant the current

*i*of the circuit.

Problem 9. Let us consider a circuit with 4 nodes – A, B, C, D. Let the current *i _{AB} *go from node A to B. The

*i*is 13mA,

_{AB}*i*is 30mA. Find

_{DA}*i*and

_{AC}*i*, if is 24mA.

_{CD}Problem 10. Here on the circuit in Figure 38, find the power supplied by a 10A source.

Problem 11. On the circuit in Figure 39 find the power supplied by a 20A source.

Problem 12. On the circuit in Figure 40 find *v _{1} *when the 10A source supply is 10

*v*power.

_{1}Problem 13. On the circuit in the Figure 41, when the power generated by 10A source is 10*v _{1}*. Find the

*v*.

_{1}Problem 14. Using the nodal method find the power supplied by the 5A source of the circuit in Figure 42.

Problem 15. Using nodal analysis find the voltages *v _{1}* and

*v*for the circuit in Figure 43.

_{2}Problem 16. Using the nodal method, find *v _{1} *and

*v*voltages of the circuit in Figure 44.

_{2}Problem 17. Using nodal method, determine voltage *v _{0}* of the circuit in Figure 45.

Problem 18. Determine the voltages *v _{1}*,

*v*and

_{2}*v*of the circuit in Figure 46.

_{3}Problem 19. Determine the current *I _{0} *using a mesh method for the circuit in Figure 47.

Problem 20. Find the loop currents for a circuit in Figure 48.